Difficulty: Easy
Correct Answer: 13
Explanation:
Introduction / Context:
Convert mixed left/right ranks into a total count and absolute positions, then compute the number of people in between.
Given Data / Assumptions:
Concept / Approach:
Total N = L + R - 1 for the same person. Then convert Nikhil’s right rank to a left position; finally, compute the gap between left positions minus one.
Step-by-Step Solution:
Akash total: N = 5 + 25 - 1 = 29.Nikhil from left = N - 11 + 1 = 29 - 11 + 1 = 19.Gap between positions 5 and 19 = 19 - 5 - 1 = 13.
Verification / Alternative check:
Counting from either side yields consistent totals; symmetrical ranks agree with N = 29.
Why Other Options Are Wrong:
12/14/15 are off by one relative to the correct difference and the “exclude endpoints” rule.
Common Pitfalls:
Forgetting the “-1” in N = L + R - 1; or forgetting to subtract one when counting those in between.
Final Answer:
13
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